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Finding the Fourth Proportional to 12,765.53, 19,148.34 and 3,880.95

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Solution

The fourth proportional to 12,765.53, 19,148.34 and 3,880.95 is: 5,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.53 : 19,148.34 = 3,880.95 : x
  2. Step 2: Convert to fraction form
    12,765.53/19,148.34 = 3,880.95/x
  3. Step 3: Cross multiply
    12,765.53x = 19,148.34 × 3,880.95
  4. Step 4: Simplify right side
    12,765.53x = 74,313,750.12
  5. Step 5: Solve for x
    x = 74,313,750.12/12,765.53
  6. Step 6: Final answer
    x = 5,821.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.